Question

what will be the ratio of between areas covered by first and second orbit
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Answer 1

The correct answer is option D - 16 : 1.

This is because the radius of the hydrogen atom is directly proportional to the square of its principle quantum number.

Area of circle (orbit) = π r²

Radius (r) of a shell = α n²/Z

Therefore, Area A = α π n4 (Z = 1 for both)

1st orbit:- n = 1, A = α π (1)⁴/Z = 1

2nd orbit:- n = 2; A = α π (2)⁴/Z = 16

Therefore, ratio of second to first orbit is 16:1.